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Finding the Fourth Proportional to 398,251.34, 549,584.67 and 216,962.83

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Solution

The fourth proportional to 398,251.34, 549,584.67 and 216,962.83 is: 299,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,251.34 : 549,584.67 = 216,962.83 : x
  2. Step 2: Convert to fraction form
    398,251.34/549,584.67 = 216,962.83/x
  3. Step 3: Cross multiply
    398,251.34x = 549,584.67 × 216,962.83
  4. Step 4: Simplify right side
    398,251.34x = 119,239,445,327.82
  5. Step 5: Solve for x
    x = 119,239,445,327.82/398,251.34
  6. Step 6: Final answer
    x = 299,407.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.